Apply first coat of catalyzed laquer primer surfacer with sprayer. Use risers (plywood and nails) to raise the painted material off of your table and minimize smudges.

Then use aqua coat grain filler.

Spray on the second coat of primer (spray opposite direction) or you can use a roller. Prime the hard to see surfaces of the frame first, then focus on the face frame fronts where quality issues might be more visible so you can correct them.

Then put grain filler on with plastic scraper. Use a cloth to wipe excess and apply in hard to reach areas.